Exam 1 grading

[goodwine]

The system for grading exam 1 was as follows:

1. • 2 points each for correct eigenvalues and eigenvectors
   • 13 points for assembling everything correctly in a general solution
2. • 5 points for the correct eigenvalues
   • 10 points for correct computations
   • 10 points for correctly checking the answer
3. • only gave general solution, but didn't do/forgot to compute the particular solution for the given initial conditions: -5
   • only included up to t term (didn't include t^2): -9
   • wrong form of solution (no powers of t or higher powers of t, such as t^3): -20
   • wrong eigenvalues with none repeated: -15
   • wrong engeinvalues with only 2 repeated: -12
   • choosing a linearly dependent set of generalized eigenvalues: -12
4. • right form of f(t): 3
   • correctly Laplace transforming of everything: 7
   • correct X(s): 10
   • correct inverse Laplace transform: 5
   • calculation errors: -1 or -2 depending on severity
   • calculation errors propagating to X(s): -5